演講公告
新聞標題: ( 2011-10-24 )
演講主題:An additive formula for Samuel multiplicity and the fiber dimension
主講人:Prof. Xiang Fang (Kansas State University at Manhattan, Kansas)
演講日期:2011年11月1日(星期二) 下午2:00 –3:00
演講地點:(光復校區) 科學一館223室
茶會時間:當天下午1:30 (科學一館205室)
摘要內容:
Prof. Xiang Fang (中央大學數學系訪問教授) (Department of Mathematics, Kansas State University at Manhattan, Kansas)
Our setting is a Hilbert space of analytic functions in several variables. These functions are usually allowed to be vector-valued. Then we consider a subspace which is invariant under the multiplication by the coordinate functions. Our result is an additive formula of two numerical invariants. The first numerical invariant is the fiber dimension of the invariant subspace, and the second one is the Samuel multiplicity of the associated quotient space.
I will explain all definitions, and explain the proof of a simple case.
